Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

back to index

Find the prime factorization of number 608.

Answer

The prime factorization of 608 is:

$$ 608 = 2\cdot2\cdot2\cdot2\cdot2\cdot19 $$

Which is the same as :

$$ 608 = 2^{5}\cdot19 $$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

608 can be written as 2 × 304.
  • 608
    • 2
    • 304
304 can be written as 2 × 152.
  • 608
    • 2
    • 304
      • 152
      • 2
152 can be written as 2 × 76.
  • 608
    • 2
    • 304
      • 152
        • 2
        • 76
      • 2
76 can be written as 2 × 38.
  • 608
    • 2
    • 304
      • 152
        • 2
        • 76
          • 38
          • 2
      • 2
38 can be written as 2 × 19.
  • 608
    • 2
    • 304
      • 152
        • 2
        • 76
          • 38
            • 2
            • 19
          • 2
      • 2
The end nodes are the prime factors of the number 608.
  • 608
    • 2
    • 304
      • 152
        • 2
        • 76
          • 38
            • 2
            • 19
          • 2
      • 2
This page was created using
Prime factorization calculator